Search a number
-
+
132000000000 = 21135911
BaseRepresentation
bin111101011101111010…
…0000010100000000000
3110121201022021202211220
41322323310002200000
54130314000000000
6140350122035040
712352040326101
oct1727364024000
9417638252756
10132000000000
1150a876167a0
12216ba648a80
13c5a834bb9b
146562d643a8
1536787261a0
hex1ebbd02800

132000000000 has 480 divisors, whose sum is σ = 479882763360. Its totient is φ = 32000000000.

The previous prime is 131999999983. The next prime is 132000000001. The reversal of 132000000000 is 231.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000000001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11999999995 + ... + 12000000005.

It is an arithmetic number, because the mean of its divisors is an integer number (999755757).

Almost surely, 2132000000000 is an apocalyptic number.

132000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239941381680).

132000000000 is an abundant number, since it is smaller than the sum of its proper divisors (347882763360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132000000000 is an frugal number, since it uses more digits than its factorization.

132000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 132000000000 its reverse (231), we get a palindrome (132000000231).

The spelling of 132000000000 in words is "one hundred thirty-two billion", and thus it is an aban number.